2-Killing vector fields on warped product manifolds
2015 ◽
Vol 26
(09)
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pp. 1550065
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Keyword(s):
This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson–Walker space-times. Some conditions for a 2-Killing vector field on a warped product manifold to be parallel are obtained. Moreover, some results on the curvature of a warped product manifolds in terms of 2-Killing vector fields are derived. Finally, we apply our results to describe 2-Killing vector fields of some well-known warped product space-time models.
2012 ◽
Vol 23
(06)
◽
pp. 1250023
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2019 ◽
Vol 16
(11)
◽
pp. 1950180
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2016 ◽
Vol 13
(07)
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pp. 1650099
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Keyword(s):
Magnetic trajectories corresponding to Killing magnetic fields in a three-dimensional warped product
2020 ◽
Vol 17
(14)
◽
pp. 2050212
Keyword(s):
Keyword(s):